Sorry Folks !!

This Blog is no more updated ....
Maths can be best explored on your own just as I did .... rather than following a blog ....

Kaprekar Constant ( Trivia # 14 )

on Friday, May 1, 2009

Step 1: Take any 4 digits number,such that at least 2 of its digits are different.

Step 2: Write the digits in ascending order.

    E.g If I take 7526, the ascending order form is taking the smallest digit first, to the biggest diggit last. In this case, its 2567.

Step 3: Write the digits in descending order.

    E.g If I take 7526, the descending order form is taking the biggest digit first, to the smallest diggit last. In this case, its 7652.

Step 4: Find the difference between the two resulting numbers.

    In the example in steps 2 and 3, we are doing the following operation:-
      7652-2567

Step 5: Repeat Steps 2,3 and 4 for the resulting difference we get in step 4.


In less than 8 steps you sall get 6174. Work it out for yourself.

eg: Take the number: 4884

Ascending order: 4488 Descending order; 8844 Difference: 4356

Ascending order: 3456 Descending order; 6543 Difference: 3087

Ascending order: 0378 Descending order; 8730 Difference: 8352

Ascending order: 2358 Descending order; 8532 Difference: 6174



Can anyone say what would be the case for 3 digited numbers?????


3 comments:

Anonymous said...

hey wats this ?! i din get... but seems vry interesting .... !!

Rabi_techManic said...

@ anonymous: This is an property of 4 digited numbers. if u take any 4 digited number and follow the above steps u will land up getting 6174 in less than 7 steps.. try yourself( bt not multiples of 1111 ofcourse because they will give the same number in ascending and descending order)

Ankit Mahato said...
This comment has been removed by the author.

Post a Comment

Waiting for ur comments :) .....